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Finding the Fourth Proportional to 106,404.90, 146,839.74 and 58,659.96

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Solution

The fourth proportional to 106,404.90, 146,839.74 and 58,659.96 is: 80,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,404.90 : 146,839.74 = 58,659.96 : x
  2. Step 2: Convert to fraction form
    106,404.90/146,839.74 = 58,659.96/x
  3. Step 3: Cross multiply
    106,404.90x = 146,839.74 × 58,659.96
  4. Step 4: Simplify right side
    106,404.90x = 8,613,613,274.81
  5. Step 5: Solve for x
    x = 8,613,613,274.81/106,404.90
  6. Step 6: Final answer
    x = 80,951.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.